Okay kiddo, do you remember how we sometimes have to look for something by checking one place at a time? Well, that's kind of what iterative deepening depth-first search is like.
Imagine we are searching for a toy in a big room with lots of boxes. We start by looking in one box, but we don't find the toy there. So we move on to the next box and look there. But again, we don't find the toy.
Instead of giving up, we try a different strategy called iterative deepening depth-first search. This means we go back to the first box and look a bit deeper, maybe removing items or looking in smaller compartments within the box.
If we still don't find the toy, we move on to the second box again and try to search more deeply there too. Then we repeat this process, going back and forth between the boxes and searching more deeply each time.
This way, we'll eventually find the toy if it's in the room. It may take longer than just searching each box once, but it helps us explore all options and make sure we don't miss anything important.
When we use iterative deepening depth-first search to solve more complex problems, like figuring out the shortest route between two cities, it works in a similar way. We start with an initial possible solution and keep refining it over and over until we find the best one.
So, that's what iterative deepening depth-first search is all about - exploring all possible options by going back and forth between them and digging deeper until we find what we're looking for!